Question

What is the value of b?

Answer 1

Explanation:

The line has two clear points (6,10) and (2,2)

y=mx+b

m=(y2-y1)/(x2-x1)

m=(2-10)/(2-6)=-8/-4=2 so far our line is

y=2x+b, using point (2,2) we can solve for b

2=2(2)+b

2=4+b

b=-2 so our line is

y=2x-2, and we want to know the coordinates for (4,b)

b=2(4)-2

b=8-2

b=6

Now we want to know the coordinates for (a,8)

8=2a-2

10=2a

a=5